Search a number
-
+
30150450 = 23252116091
BaseRepresentation
bin111001100000…
…0111100110010
32002201210122100
41303000330302
530204303300
62554121230
7514163121
oct163007462
962653570
1030150450
1116023530
12a120216
136328605
14400bab8
1529a8700
hex1cc0f32

30150450 has 72 divisors (see below), whose sum is σ = 88382736. Its totient is φ = 7308000.

The previous prime is 30150443. The next prime is 30150451. The reversal of 30150450 is 5405103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30150451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1905 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (1227538).

Almost surely, 230150450 is an apocalyptic number.

30150450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30150450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44191368).

30150450 is an abundant number, since it is smaller than the sum of its proper divisors (58232286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30150450 is a wasteful number, since it uses less digits than its factorization.

30150450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30150450 is about 5490.9425420414. The cubic root of 30150450 is about 311.2418104005.

Adding to 30150450 its reverse (5405103), we get a palindrome (35555553).

The spelling of 30150450 in words is "thirty million, one hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 6091 12182 18273 30455 36546 54819 60910 67001 91365 109638 134002 152275 182730 201003 274095 304550 335005 402006 456825 548190 603009 670010 913650 1005015 1206018 1370475 1675025 2010030 2740950 3015045 3350050 5025075 6030090 10050150 15075225 30150450